The direction in which the Earth and the other solid planets—Mercury, Venus, and Mars—spins were determined from collisions with giant celestial bodies in the early history of the solar system.
spins were determined from
spins were determined because of
spins was determined through
spin was determined by
spin was determined as a result of
"determined as a result of" it is every bit as redundant as "annual salary per year" (vis-a-vis just "annual salary" or "salary per year").
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